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Finding the Fourth Proportional to 201,225, 301,979.66 and 96,052.17

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Solution

The fourth proportional to 201,225, 301,979.66 and 96,052.17 is: 144,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225 : 301,979.66 = 96,052.17 : x
  2. Step 2: Convert to fraction form
    201,225/301,979.66 = 96,052.17/x
  3. Step 3: Cross multiply
    201,225x = 301,979.66 × 96,052.17
  4. Step 4: Simplify right side
    201,225x = 29,005,801,158.60
  5. Step 5: Solve for x
    x = 29,005,801,158.60/201,225
  6. Step 6: Final answer
    x = 144,146.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.